Answer:
118.3 m²
Step-by-step explanation:
Step 1. Calculate the <em>semiperimeter</em> (s).
s = (p + q + r)/2
s = (17 + 18+ 15)/2
s = 50/2
s = 25 m
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Step 2. Calculate the <em>area</em> (A).
Use <em>Heron’s formula</em>:
A = 118.3 m²
Answer:
6
Step-by-step explanation:
Area = 1/2( base times height)
since the height is perpendicular to the base
therefore
6 = 1/2(3) h
12 =3h
4=h
4 units away from the y=2 line is at the y coordinate of 6
Answer:
14.04º
Step-by-step explanation:
Since it is a right-angle triangle, we can apply the trigonometry identity.
The Tangent rule state that Tan (θ) = Opposite/Adjacent
In the diagram, the opposite (the side that is opposite of the θ) is 5 units.
The adjacent (the side that is along the θ) is 20 units.
Applying the identity,
Tan (θ) = 5/20
θ = 14.04º (nearest hundredth)
Answer:
A =24.7° ; B = 40.6° ; C =114.7°
Step-by-step explanation:
The equation of the reflected ray is y+x = 6. Since based on the equation of the original ray is y-x=4 and the equation of the normal line y=5, the point where the normal line, the original ray and the reflected ray intersect is at point (1,5). By definition, substituting the normal line (y=5) and the point (1,5) to the given equations, y+x=6 satisfies the equality and therefore is the equation of the reflected ray
